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Finding the Fourth Proportional to 1,180.92, 1,770.70 and 450.03

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Solution

The fourth proportional to 1,180.92, 1,770.70 and 450.03 is: 674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.92 : 1,770.70 = 450.03 : x
  2. Step 2: Convert to fraction form
    1,180.92/1,770.70 = 450.03/x
  3. Step 3: Cross multiply
    1,180.92x = 1,770.70 × 450.03
  4. Step 4: Simplify right side
    1,180.92x = 796,868.12
  5. Step 5: Solve for x
    x = 796,868.12/1,180.92
  6. Step 6: Final answer
    x = 674.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.